%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : LAT035-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:42:52 AM UTC 2026
% Result : Unsatisfiable 0.09s 0.45s
% Output : Proof 0.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT035-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n018.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 13:59:53 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.45 Command-line arguments: --no-flatten-goal
% 0.09/0.45
% 0.09/0.45 % SZS status Unsatisfiable
% 0.09/0.45
% 0.09/0.45 % SZS output start Proof
% 0.09/0.45 Axiom 1 (k_on_bottom): k(n0) = n1.
% 0.09/0.45 Axiom 2 (f_on_top): f(n1) = n0.
% 0.09/0.45 Axiom 3 (k_on_join): k(join(X, Y)) = meet(k(X), k(Y)).
% 0.09/0.45 Axiom 4 (f_on_meet): f(meet(X, Y)) = join(f(X), f(Y)).
% 0.09/0.45
% 0.09/0.45 Goal 1 (comp_join_hemimorphism): tuple(f(k(join(aa, bb))), f(k(n0))) = tuple(join(f(k(aa)), f(k(bb))), n0).
% 0.09/0.45 Proof:
% 0.09/0.45 tuple(f(k(join(aa, bb))), f(k(n0)))
% 0.09/0.45 = { by axiom 1 (k_on_bottom) }
% 0.09/0.45 tuple(f(k(join(aa, bb))), f(n1))
% 0.09/0.45 = { by axiom 2 (f_on_top) }
% 0.09/0.45 tuple(f(k(join(aa, bb))), n0)
% 0.09/0.45 = { by axiom 3 (k_on_join) }
% 0.09/0.45 tuple(f(meet(k(aa), k(bb))), n0)
% 0.09/0.45 = { by axiom 4 (f_on_meet) }
% 0.09/0.45 tuple(join(f(k(aa)), f(k(bb))), n0)
% 0.09/0.45 % SZS output end Proof
% 0.09/0.45
% 0.09/0.45 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------